Elliptic curve search results

Results (31 matches)

 

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
3640.f1	3640g1	3640.f	3640g	$2$	$2$	\( 2^{3} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{10} \cdot 5 \cdot 7^{6} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1.686595051$	$1$		$5$	$3456$	$1.015457$	$2238719766084/1292374265$	$1.03035$	$4.31336$	$[0, 0, 0, -2747, -2746]$	\(y^2=x^3-2747x-2746\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[(-50, 98)]$
7280.m1	7280f1	7280.m	7280f	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{10} \cdot 5 \cdot 7^{6} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$6912$	$1.015457$	$2238719766084/1292374265$	$1.03035$	$3.97716$	$[0, 0, 0, -2747, 2746]$	\(y^2=x^3-2747x+2746\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[]$
18200.m1	18200n1	18200.m	18200n	$2$	$2$	\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{10} \cdot 5^{7} \cdot 7^{6} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$2.289793380$	$1$		$5$	$82944$	$1.820177$	$2238719766084/1292374265$	$1.03035$	$4.59009$	$[0, 0, 0, -68675, -343250]$	\(y^2=x^3-68675x-343250\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[(-30, 1300)]$
25480.g1	25480b1	25480.g	25480b	$2$	$2$	\( 2^{3} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{10} \cdot 5 \cdot 7^{12} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$2.660778931$	$1$		$3$	$165888$	$1.988413$	$2238719766084/1292374265$	$1.03035$	$4.63685$	$[0, 0, 0, -134603, 941878]$	\(y^2=x^3-134603x+941878\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[(1407, 50960)]$
29120.y1	29120bm1	29120.y	29120bm	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{16} \cdot 5 \cdot 7^{6} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1.276655836$	$1$		$5$	$55296$	$1.362032$	$2238719766084/1292374265$	$1.03035$	$3.84537$	$[0, 0, 0, -10988, 21968]$	\(y^2=x^3-10988x+21968\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[(-14, 416)]$
29120.bd1	29120j1	29120.bd	29120j	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{16} \cdot 5 \cdot 7^{6} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$0.527787539$	$1$		$7$	$55296$	$1.362032$	$2238719766084/1292374265$	$1.03035$	$3.84537$	$[0, 0, 0, -10988, -21968]$	\(y^2=x^3-10988x-21968\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[(-51, 637)]$
32760.p1	32760bg1	32760.p	32760bg	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{10} \cdot 3^{6} \cdot 5 \cdot 7^{6} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$110592$	$1.564764$	$2238719766084/1292374265$	$1.03035$	$4.03580$	$[0, 0, 0, -24723, 74142]$	\(y^2=x^3-24723x+74142\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[]$
36400.br1	36400m1	36400.br	36400m	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{10} \cdot 5^{7} \cdot 7^{6} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$0.503935084$	$1$		$11$	$165888$	$1.820177$	$2238719766084/1292374265$	$1.03035$	$4.28715$	$[0, 0, 0, -68675, 343250]$	\(y^2=x^3-68675x+343250\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[(355, 4550)]$
47320.x1	47320r1	47320.x	47320r	$2$	$2$	\( 2^{3} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{10} \cdot 5 \cdot 7^{6} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$580608$	$2.297932$	$2238719766084/1292374265$	$1.03035$	$4.71524$	$[0, 0, 0, -464243, -6032962]$	\(y^2=x^3-464243x-6032962\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[]$
50960.ba1	50960d1	50960.ba	50960d	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{10} \cdot 5 \cdot 7^{12} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1.692780417$	$1$		$3$	$331776$	$1.988413$	$2238719766084/1292374265$	$1.03035$	$4.34032$	$[0, 0, 0, -134603, -941878]$	\(y^2=x^3-134603x-941878\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[(-133, 3822)]$
65520.g1	65520n1	65520.g	65520n	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{10} \cdot 3^{6} \cdot 5 \cdot 7^{6} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$221184$	$1.564764$	$2238719766084/1292374265$	$1.03035$	$3.78356$	$[0, 0, 0, -24723, -74142]$	\(y^2=x^3-24723x-74142\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[]$
94640.bq1	94640j1	94640.bq	94640j	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{10} \cdot 5 \cdot 7^{6} \cdot 13^{9} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$2.175237248$	$1$		$15$	$1161216$	$2.297932$	$2238719766084/1292374265$	$1.03035$	$4.42999$	$[0, 0, 0, -464243, 6032962]$	\(y^2=x^3-464243x+6032962\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[(3289, 184548), (-2223/2, 76895/2)]$
127400.bd1	127400bf1	127400.bd	127400bf	$2$	$2$	\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{10} \cdot 5^{7} \cdot 7^{12} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$4.472552227$	$1$		$5$	$3981312$	$2.793133$	$2238719766084/1292374265$	$1.03035$	$4.82348$	$[0, 0, 0, -3365075, 117734750]$	\(y^2=x^3-3365075x+117734750\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[(-5, 11600)]$
145600.ds1	145600gh1	145600.ds	145600gh	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{16} \cdot 5^{7} \cdot 7^{6} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$3.192604764$	$1$		$5$	$1327104$	$2.166752$	$2238719766084/1292374265$	$1.03035$	$4.13706$	$[0, 0, 0, -274700, -2746000]$	\(y^2=x^3-274700x-2746000\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[(-410, 6400)]$
145600.ek1	145600bx1	145600.ek	145600bx	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{16} \cdot 5^{7} \cdot 7^{6} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1.296803719$	$1$		$5$	$1327104$	$2.166752$	$2238719766084/1292374265$	$1.03035$	$4.13706$	$[0, 0, 0, -274700, 2746000]$	\(y^2=x^3-274700x+2746000\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[(570, 5600)]$
163800.bx1	163800eg1	163800.bx	163800eg	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{10} \cdot 3^{6} \cdot 5^{7} \cdot 7^{6} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1.627467016$	$1$		$3$	$2654208$	$2.369484$	$2238719766084/1292374265$	$1.03035$	$4.29910$	$[0, 0, 0, -618075, 9267750]$	\(y^2=x^3-618075x+9267750\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[(1455, 46800)]$
203840.dj1	203840bg1	203840.dj	203840bg	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{16} \cdot 5 \cdot 7^{12} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$2654208$	$2.334988$	$2238719766084/1292374265$	$1.03035$	$4.18833$	$[0, 0, 0, -538412, -7535024]$	\(y^2=x^3-538412x-7535024\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[]$
203840.ds1	203840em1	203840.ds	203840em	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{16} \cdot 5 \cdot 7^{12} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$11.57621043$	$1$		$1$	$2654208$	$2.334988$	$2238719766084/1292374265$	$1.03035$	$4.18833$	$[0, 0, 0, -538412, 7535024]$	\(y^2=x^3-538412x+7535024\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[(3530926/47, 5901364000/47)]$
229320.ei1	229320p1	229320.ei	229320p	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{10} \cdot 3^{6} \cdot 5 \cdot 7^{12} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$5308416$	$2.537720$	$2238719766084/1292374265$	$1.03035$	$4.34547$	$[0, 0, 0, -1211427, -25430706]$	\(y^2=x^3-1211427x-25430706\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[]$
236600.bt1	236600bt1	236600.bt	236600bt	$2$	$2$	\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{10} \cdot 5^{7} \cdot 7^{6} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$13934592$	$3.102650$	$2238719766084/1292374265$	$1.03035$	$4.88234$	$[0, 0, 0, -11606075, -754120250]$	\(y^2=x^3-11606075x-754120250\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[]$
254800.eb1	254800eb1	254800.eb	254800eb	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{10} \cdot 5^{7} \cdot 7^{12} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$7962624$	$2.793133$	$2238719766084/1292374265$	$1.03035$	$4.55490$	$[0, 0, 0, -3365075, -117734750]$	\(y^2=x^3-3365075x-117734750\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[]$
262080.js1	262080js1	262080.js	262080js	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{16} \cdot 3^{6} \cdot 5 \cdot 7^{6} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$2.725430857$	$1$		$3$	$1769472$	$1.911337$	$2238719766084/1292374265$	$1.03035$	$3.69649$	$[0, 0, 0, -98892, -593136]$	\(y^2=x^3-98892x-593136\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[(1290, 44928)]$
262080.lh1	262080lh1	262080.lh	262080lh	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{16} \cdot 3^{6} \cdot 5 \cdot 7^{6} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$0.791631164$	$1$		$5$	$1769472$	$1.911337$	$2238719766084/1292374265$	$1.03035$	$3.69649$	$[0, 0, 0, -98892, 593136]$	\(y^2=x^3-98892x+593136\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[(-120, 3276)]$
327600.jk1	327600jk1	327600.jk	327600jk	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{10} \cdot 3^{6} \cdot 5^{7} \cdot 7^{6} \cdot 13^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$0.589533986$	$1$		$33$	$5308416$	$2.369484$	$2238719766084/1292374265$	$1.03035$	$4.06445$	$[0, 0, 0, -618075, -9267750]$	\(y^2=x^3-618075x-9267750\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[(-155, 9100), (-701, 8918)]$
331240.bl1	331240bl1	331240.bl	331240bl	$2$	$2$	\( 2^{3} \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{10} \cdot 5 \cdot 7^{12} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$9$	$3$	$1$	$27869184$	$3.270885$	$2238719766084/1292374265$	$1.03035$	$4.91193$	$[0, 0, 0, -22747907, 2069305966]$	\(y^2=x^3-22747907x+2069305966\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[]$
378560.ev1	378560ev1	378560.ev	378560ev	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{16} \cdot 5 \cdot 7^{6} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$4$	$2$	$1$	$9289728$	$2.644505$	$2238719766084/1292374265$	$1.03035$	$4.27565$	$[0, 0, 0, -1856972, -48263696]$	\(y^2=x^3-1856972x-48263696\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[]$
378560.fn1	378560fn1	378560.fn	378560fn	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{16} \cdot 5 \cdot 7^{6} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$9289728$	$2.644505$	$2238719766084/1292374265$	$1.03035$	$4.27565$	$[0, 0, 0, -1856972, 48263696]$	\(y^2=x^3-1856972x+48263696\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[]$
425880.dd1	425880dd1	425880.dd	425880dd	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{6} \cdot 5 \cdot 7^{6} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$7.971034113$	$1$		$1$	$18579456$	$2.847237$	$2238719766084/1292374265$	$1.03035$	$4.42448$	$[0, 0, 0, -4178187, 162889974]$	\(y^2=x^3-4178187x+162889974\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[(-303329/17, 286137280/17)]$
440440.bn1	440440bn1	440440.bn	440440bn	$2$	$2$	\( 2^{3} \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \)	\( 2^{10} \cdot 5 \cdot 7^{6} \cdot 11^{6} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$5.825125985$	$1$		$1$	$4838400$	$2.214405$	$2238719766084/1292374265$	$1.03035$	$3.82868$	$[0, 0, 0, -332387, 3654926]$	\(y^2=x^3-332387x+3654926\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[(-14366/5, 276848/5)]$
458640.jq1	458640jq1	458640.jq	458640jq	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{10} \cdot 3^{6} \cdot 5 \cdot 7^{12} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$2.607606546$	$1$		$3$	$10616832$	$2.537720$	$2238719766084/1292374265$	$1.03035$	$4.11441$	$[0, 0, 0, -1211427, 25430706]$	\(y^2=x^3-1211427x+25430706\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[(-875, 20384)]$
473200.dl1	473200dl1	473200.dl	473200dl	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{10} \cdot 5^{7} \cdot 7^{6} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$5.425215189$	$1$		$3$	$27869184$	$3.102650$	$2238719766084/1292374265$	$1.03035$	$4.62336$	$[0, 0, 0, -11606075, 754120250]$	\(y^2=x^3-11606075x+754120250\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[(60905, 15007200)]$